details

property	value
status	complete
benchmark	YWHM14_1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.049716 seconds
cpu usage	0.052378
user time	0.022217
system time	0.030161
max virtual memory	113188.0
max residence set size	3984.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (THEORY (AC plus)) (RULES f(plus(a,a)) -> plus(f(a),f(a)) plus(a,f(f(a))) -> plus(f(a),f(a)) ) Problem 1: Reduction Order Processor: -> Rules: f(plus(a,a)) -> plus(f(a),f(a)) plus(a,f(f(a))) -> plus(f(a),f(a)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 2.X + 1 [plus](X1,X2) = X1 + X2 + 2 [a] = 1 Problem 1: Reduction Order Processor: -> Rules: plus(a,f(f(a))) -> plus(f(a),f(a)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 2.X + 1 [plus](X1,X2) = X1 + X2 + 2 [a] = 2 Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2)) PLUS(x0,x1) = PLUS(x1,x0) -> Pairs: Empty -> EAxioms: plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2)) plus(x0,x1) = plus(x1,x0) -> Rules: Empty -> SRules: PLUS(plus(x0,x1),x2) -> PLUS(x0,x1) PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2) Problem 1: SCC Processor: -> FAxioms: PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2)) PLUS(x0,x1) = PLUS(x1,x0) -> Pairs: Empty -> EAxioms: plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2)) plus(x0,x1) = plus(x1,x0) -> Rules: Empty -> SRules: PLUS(plus(x0,x1),x2) -> PLUS(x0,x1) PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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job log

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actions

all output return to TRS Equational